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BITSAT 2010
Exam
BITSAT
Year
2010
Subject
Mathematics
Chapter
Continuity and Differentiability

BITSAT 2010 · Mathematics · Continuity and Differentiability

The value of ( | array ccc 1 & 2 & 3 -4 & 3 & 6 2 & -7 & 9 array |)...

The value of (\left|123−4362−79\begin{array}{ccc}1 & 2 & 3 \\ -4 & 3 & 6 \\ 2 & -7 & 9\end{array}\right|) is

Options

  1. A213
  2. B-231
  3. C231
  4. D39

Correct answer

C. 231

Step-by-step solution

$\begin{aligned}& \left|\begin{array}{ccc}1 & 2 & 3 \\ -4 & 3 & 6 \\ 2 & -7 & 9\end{array} \right|=1\left| \begin{array}{cc}3 & 6 \\ -7 & 9\end{array} \right|-2\left| \begin{array}{cc}-4 & 6 \\ 2 & 9\end{array} \right|+3 \\ & \left| \begin{array}{cc}-4 & 3 \\ 2 & -7\end{array} \right| \\ & \end{aligned}) =1(3×9−6(−7))−2(−4×9−2×6)+3((−4)(−7)−3×2)=(27+42)−2(−36−12)+3(28−6)=231\begin{aligned}& =1(3 \times9-6(-7))-2(-4 \times9-2 \times6)+3 \\ & ((-4)(-7)-3 \times2) \\ & =(27+42)-2(-36-12)+3(28-6)=231 \end{aligned}$$)
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